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Finding the Fourth Proportional to 6,426.84, 9,640.94 and 2,043.27

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Solution

The fourth proportional to 6,426.84, 9,640.94 and 2,043.27 is: 3,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.84 : 9,640.94 = 2,043.27 : x
  2. Step 2: Convert to fraction form
    6,426.84/9,640.94 = 2,043.27/x
  3. Step 3: Cross multiply
    6,426.84x = 9,640.94 × 2,043.27
  4. Step 4: Simplify right side
    6,426.84x = 19,699,043.47
  5. Step 5: Solve for x
    x = 19,699,043.47/6,426.84
  6. Step 6: Final answer
    x = 3,065.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.